11A5: Report, display and defend the process and findings of issue investigation, critiquing findings by self and peer review, generating further questions or issues for consideration, evaluating comparable issue resolutions or responses for action, or generalizing public opinion responses.

Connections between and among multiple geometric figures

Technological Design

9B2: Represent and describe with the language of geometry intersections and cross sections of three-dimensional objects.

11B3: Collect and record data accurately, using consistent metric measuring and recording techniques and media with necessary precision, documenting data from instruments accurately in selected format, or graphing data appropriately to show relation to variables in design solution proposal.

Properties of matter and energy and the interactions between them

12C1: Apply scientific inquiries or technological designs to explain chemical bonding and reactions, balancing chemical reactions using formulas and equations to quantify reaction masses, volumes and ratios, examining factors that affect capacity to react or rates (concentrations, pH, catalysts, molarity, temperature, etc.), or referencing the bonding potential and strengths within and between atoms and molecules.

12C2: Apply scientific inquiries or technological designs to explain atomic and sub-atomic structures and energy, describing the composition of the nucleus and its transformations in nuclear reactions and predicting energy released and absorbed, explaining atomic structures to masses, volumes, charges, and isotopic connections, or explaining schematic designs for devices to detect, analyze, produce such structures or processes.

12C3: Apply scientific inquiries or technological designs to explain wave theory, explaining the wave and particle nature of light, constructing tests for reflection, refraction, image formation by mirrors and lenses, diffraction, and polarization, describing common examples of optical devices, or addressing light in the context of the human eye (and other light-sensitive animals).

Force and Motion

12D1: Apply scientific inquiries or technological design to explore the nature of forces,comparing gravitational, electromagnetic, nuclear strong and weak interactive forces, or describing the impact of these forces at all levels.

12D4: Apply scientific inquiries or technological designs to explore thermodynamics, explaining the kinetic theory of gases, the ideal gas laws, calculating temperature and pressure variations of gases, specific heat values, and heat capacities of solids and liquids and mechanical equivalents of heat, calculating thermal expansion and transfer capabilities of different substances, or explaining entropy in common terms and examples.